[{"_1":2,"_391":-5,"_392":-5},"loaderData",{"_3":4,"_31":32},"root",{"_5":6,"_28":29,"_30":-5},"registerModalConfig",{"_7":8,"_15":16},"blockedConfig",{"_9":10,"_15":16,"_17":18,"_21":22,"_24":25},"answerQuestion",{"_11":12,"_13":14},"subtitle","Crie sua conta gratuita e utilize todos os nossos recursos de questões disponiveis","title","Para responder, cadastre-se gratuitamente","customBlockedUI",true,"defaultRegister",{"_11":19,"_13":20},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis","Cadastre-se gratuitamente","imageSearch",{"_11":19,"_13":23},"Para buscar por imagem, cadastre-se gratuitamente","questionAnswer",{"_11":26,"_13":27},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis para responder","Para ver a resposta, cadastre-se gratuitamente","url","https://prouniversitario.com/exercicios/58ded3a3-9fab-44d6-b94e-530cfc4ce1cd?video=true","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_102":103,"_203":204,"_50":279,"_346":347,"_387":388,"_389":390},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":41,"_43":44,"_45":46,"_76":77,"_96":41,"_97":98,"_99":100,"_101":16},"correctOptionId","","difficulty","id","58ded3a3-9fab-44d6-b94e-530cfc4ce1cd","metadata",{"_47":48,"_72":73,"_74":75},"pd",{"_49":-5,"_50":51,"_52":53,"_60":61,"_62":63,"_64":16,"_65":66,"_67":16,"_68":69,"_70":71},"area","tags",[],"subjects",[54],{"_43":55,"_56":57,"_58":59},1663620,"name","Resistência dos Materiais","alias","resistencia-dos-materiais","materialId","122713823","answerCount",1,"isIndexable","mainSubject",{"_43":55,"_56":57,"_58":59},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","High School","source","PD","externalId","122793605","options",[78,84,88,92],{"_43":79,"_80":81,"_82":83},"f16a7516-35ce-4479-8c7e-b0917240bf90","label","A","text","

To calculate the torque and rotation of a shaft.

",{"_43":85,"_80":86,"_82":87},"1304c148-a38e-47ef-9905-a8f87ec10726","B","

To calculate the normal and shear stresses of a shaft.

",{"_43":89,"_80":90,"_82":91},"227a1fa5-31dd-4d0a-82c9-19bc50bc483a","C","

To calculate the principal stresses and the Von Mises stress of a shaft.

",{"_43":93,"_80":94,"_82":95},"fdae81ae-c957-433a-a6d4-910130aa4fff","D","

To calculate the angle of twist and the Mohr's\\, circle of a shaft.

","solution_explanation","statement","

What is the purpose of this activity?

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Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[227],{"_43":228,"_56":229,"_58":230,"_145":146,"_147":231,"_118":232,"_120":232,"_45":233,"_122":230},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_150":234,"_152":153,"_154":235},4,12302,{"_40":237,"_42":41,"_43":238,"_76":239,"_96":251,"_97":252,"_50":253},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[240,243,246,248],{"_43":241,"_80":81,"_82":242},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":244,"_80":86,"_82":245},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":237,"_80":90,"_82":247},"

Verdadeiro, falso, verdadeiro

",{"_43":249,"_80":94,"_82":250},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[277],{"_43":228,"_56":229,"_58":230,"_145":146,"_147":231,"_118":232,"_120":232,"_45":278,"_122":230},{"_150":234,"_152":153,"_154":235},[280,282,291,297,301,303,305,313,318,326,328,333,339],{"_43":228,"_56":229,"_58":230,"_145":146,"_147":231,"_118":232,"_120":232,"_45":281,"_122":230},{"_150":234,"_152":153,"_154":235},{"_43":283,"_56":284,"_58":285,"_145":146,"_147":286,"_118":162,"_120":162,"_45":287,"_122":290},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_150":288,"_152":153,"_154":289},5,30614,"engenharia-mecatronica-1",{"_43":292,"_56":57,"_58":59,"_145":146,"_147":293,"_118":294,"_120":294,"_45":295,"_122":296},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_150":153,"_152":153,"_154":172},"resistencia-dos-materiais-6",{"_43":293,"_56":160,"_58":161,"_145":146,"_147":283,"_118":232,"_120":232,"_45":298,"_122":300},{"_150":288,"_152":153,"_154":299},25741,"mecanica-3",{"_43":142,"_56":143,"_58":144,"_145":146,"_147":-5,"_118":148,"_120":148,"_45":302,"_122":144},{"_150":151,"_152":153,"_154":155},{"_43":169,"_56":57,"_58":59,"_145":146,"_147":159,"_118":170,"_120":170,"_45":304,"_122":173},{"_150":153,"_152":153,"_154":172},{"_43":306,"_56":307,"_58":308,"_145":146,"_147":286,"_118":162,"_120":162,"_45":309,"_122":312},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_150":310,"_152":153,"_154":311},21,45865,"engenharia-civil-3",{"_43":231,"_56":314,"_58":315,"_145":146,"_147":286,"_118":162,"_120":162,"_45":316,"_122":317},"Engenharia de Petróleo","engenharia-de-petroleo",{"_150":288,"_152":153,"_154":235},"engenharia-de-petroleo-1",{"_43":319,"_56":320,"_58":321,"_145":146,"_147":306,"_118":322,"_120":322,"_45":323,"_122":325},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_150":288,"_152":153,"_154":324},8852,"estruturas-1",{"_43":159,"_56":160,"_58":161,"_145":146,"_147":142,"_118":162,"_120":162,"_45":327,"_122":166},{"_150":164,"_152":153,"_154":165},{"_43":329,"_56":57,"_58":59,"_145":146,"_147":228,"_118":330,"_120":330,"_45":331,"_122":332},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_150":153,"_152":153,"_154":172},"resistencia-dos-materiais-7",{"_43":334,"_56":335,"_58":59,"_145":146,"_147":319,"_118":336,"_120":336,"_45":337,"_122":338},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_150":153,"_152":153,"_154":172},"resistencia-dos-materiais-5",{"_43":286,"_56":340,"_58":341,"_145":146,"_147":-5,"_118":342,"_120":342,"_45":343,"_122":341},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_150":344,"_152":153,"_154":345},29,351586,"tagsTree",[348,357],{"_43":142,"_56":143,"_58":144,"_145":146,"_147":-5,"_118":148,"_120":148,"_45":349,"_122":144,"_156":350},{"_150":151,"_152":153,"_154":155},[351],{"_43":159,"_56":160,"_58":161,"_145":146,"_147":142,"_118":162,"_120":162,"_45":352,"_122":166,"_156":353},{"_150":164,"_152":153,"_154":165},[354],{"_43":169,"_56":57,"_58":59,"_145":146,"_147":159,"_118":170,"_120":170,"_45":355,"_122":173,"_156":356},{"_150":153,"_152":153,"_154":172},[],{"_43":286,"_56":340,"_58":341,"_145":146,"_147":-5,"_118":342,"_120":342,"_45":358,"_122":341,"_156":359},{"_150":344,"_152":153,"_154":345},[360,369,378],{"_43":283,"_56":284,"_58":285,"_145":146,"_147":286,"_118":162,"_120":162,"_45":361,"_122":290,"_156":362},{"_150":288,"_152":153,"_154":289},[363],{"_43":293,"_56":160,"_58":161,"_145":146,"_147":283,"_118":232,"_120":232,"_45":364,"_122":300,"_156":365},{"_150":288,"_152":153,"_154":299},[366],{"_43":292,"_56":57,"_58":59,"_145":146,"_147":293,"_118":294,"_120":294,"_45":367,"_122":296,"_156":368},{"_150":153,"_152":153,"_154":172},[],{"_43":306,"_56":307,"_58":308,"_145":146,"_147":286,"_118":162,"_120":162,"_45":370,"_122":312,"_156":371},{"_150":310,"_152":153,"_154":311},[372],{"_43":319,"_56":320,"_58":321,"_145":146,"_147":306,"_118":322,"_120":322,"_45":373,"_122":325,"_156":374},{"_150":288,"_152":153,"_154":324},[375],{"_43":334,"_56":335,"_58":59,"_145":146,"_147":319,"_118":336,"_120":336,"_45":376,"_122":338,"_156":377},{"_150":153,"_152":153,"_154":172},[],{"_43":231,"_56":314,"_58":315,"_145":146,"_147":286,"_118":162,"_120":162,"_45":379,"_122":317,"_156":380},{"_150":288,"_152":153,"_154":235},[381],{"_43":228,"_56":229,"_58":230,"_145":146,"_147":231,"_118":232,"_120":232,"_45":382,"_122":230,"_156":383},{"_150":234,"_152":153,"_154":235},[384],{"_43":329,"_56":57,"_58":59,"_145":146,"_147":228,"_118":330,"_120":330,"_45":385,"_122":332,"_156":386},{"_150":153,"_152":153,"_154":172},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários